具阻尼顆粒齒輪傳動系統之動力學模型建立與抑振量測實驗

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姓名

李珍鋆(Jhen-Yun Li) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

具阻尼顆粒齒輪傳動系統之動力學模型建立與抑振量測實驗
(Establishment of Dynamic Model and Vibration-Suppression Measurement Experiment for a Gear Transmission System Containing Damping Particles)

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摘要(中)

阻尼顆粒技術應用於齒輪傳動系統中能有效降低齒輪傳動過程中之振動，其透過顆粒－顆粒及顆粒－齒壁之間的摩擦與非彈性碰撞消耗能量。本文基於多體動力學(Multi-body Dynamics, MBD)與離散元素法(Discrete Element Method, DEM)雙向耦合理論提出一具阻尼顆粒齒輪傳動系統之動力學模型，透過輸出軸之振動加速度計算結果，評估加入阻尼顆粒後齒輪傳動系統之抑制振動效果。本研究更建立齒輪動力量測試驗台，透過量測軸承座上之振動加速度，分析齒輪系統在加入不同阻尼顆粒配置、不同轉速下之振動響應。針對理論模型之計算結果與抑振量測實驗結果進行探討及分析，證實阻尼顆粒能有效抑制齒輪傳動時之振動，在不同轉速、粒徑、顆粒填充率下，理論計算及實驗量測結果之減振程度具有一致性。

摘要(英)

As is known, adding the damping particles in the gear transmission system can effectively suppress vibration during the operation process, because vibration energy is dissipated through the damping mechanism of particle collision and friction. This study has established a dynamic model for a gear transmission system containing damping particles, based on the two-way coupling of multi-body dynamics (MBD) and discrete element method (DEM). The translational acceleration of output shaft is analyzed to evaluate the effectiveness of vibration suppression for a gear transmission system with particles. In addition, a test platform for measuring the dynamic responses of a gear pair is constructed. The linear acceleration on the bearing seat of output shaft is measured to analyze the vibration responses of the gear system with different rotational speed and different particle settings. The results from the proposed model and the experimental measurements are further discussed and investigated to prove the consistency of degree of vibration suppression in consideration of different rotational speed, particle radius and particle filling rate.

關鍵字(中)

★ 齒輪傳動
★ 阻尼顆粒
★ 抑制振動
★ 多體動力學
★ 離散元素法

關鍵字(英)

★ gear transmission
★ damping particles
★ vibration suppression
★ multi-body dynamics (MBD)
★ discrete element method (DEM)

論文目次

摘要 I
ABSTRACT II
謝誌 IV
目錄 V
圖目錄 VII
表目錄 IX
符號對照表 X
第1章緒論 1
1-1 研究背景 1
1-2 文獻回顧 3
1-3 研究動機與目的 6
1-4 研究架構 7
第2章具阻尼顆粒齒輪傳動系統之MBD-DEM雙向耦合數學模型建立 9
2-1 模型定義與簡化 9
2-2 具阻尼顆粒齒輪傳動系統之動力學模型推導 11
2-3 廣義力理論模型 15
2-3-1 齒輪嚙合接觸力計算 15
2-3-2 軸承法向接觸力計算 18
2-3-3 軸承旋轉力矩計算 19
2-3-4 顆粒接觸力與摩擦力計算 20
第3章多體動力學與離散元素法雙向耦合模型參數介紹 23
3-1 多體動力學與離散元素法之參數介紹 23
3-2 多體動力學與離散元素法雙向耦合模型求解流程 26
3-3 時間步長計算 28
第4章實驗設計與分析 30
4-1 實驗平台簡介 30
4-2 加速規安裝與實驗流程介紹 35
4-3 頻譜分析 37
第5章動力學模型與量測實驗之振動分析與探討 39
5-1 具阻尼顆粒與具等效質量齒輪之振動分析與探討 40
5-1-1 系統動力學模型之計算結果探討 40
5-1-2 實驗量測結果探討 41
5-2 不同轉速下具不同粒徑與具等效質量齒輪之振動分析與探討 44
5-2-1 系統動力學模型之計算結果探討 44
5-2-2 實驗量測結果探討 47
5-3 具不同顆粒填充率齒輪系統之振動分析與探討 50
5-3-1 系統動力學模型之計算結果探討 51
5-3-2 實驗量測之比對與探討 52
第6章總結與未來展望 55
6-1 總結 55
6-2 未來展望 57
參考文獻 58
作者介紹 61

參考文獻

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指導教授

吳育仁(Yu-Ren Wu)

審核日期

2019-7-19

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